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3 years ago

Help me please 10 points I’m only in 8th

Mathematics

1 answer:

DaniilM [7]3 years ago

4 0

The square root of 26 is 5.0999... which rounds to 5.1

Please give me brainliest! I would really appreciate it!

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Write the trigonometric expression sin(sin−1u−tan−1v) as an algebraic expression in u and v. Assume that the variables u and v r

igomit [66]

Answer:

[u – v√(1 – u²)]/√(1 + v²)

Step-by-step explanation:

Let sin^-1(u) = A, therefore sinA = u.

We know that sin(theta) = opposite/hypothenuse

Therefore, sinA = u/1 and u is the opposite side to angle A while 1 is the hypotenuse. Draw an acute triangle placing u opposite to angle A and 1 as the hypotenuse. By Pythagoras theorem the adjacent would be √(1 – u²).

By doing this, it means cosA = adjacent/hypotenuse = √(1 – u²)/1 = √(1 – u²)

Also, let tan^-1(v) = B, therefore tanB = v.

We know that tan(theta) = opposite/adjacent

Therefore, tanB = v/1 and v is the opposite side to angle B while 1 is the adjacent. Draw an acute triangle placing v opposite to angle B and 1 as the adjacent. By Pythagoras theorem the hypothenuse would be √(1 + v²).

Therefore, sinB = opposite/hypotenuse = v/√(1 + v²) and cosB = adjacent/hypotenuse = 1/√(1 + v²)

Now,

sin[sin^–1(u) – tan^–1(v)] =

sin(A – B) =

sinAcosB – sinBcosA =

u[1/√(1 + v²)] – [v/√(1 + v²)][√(1 – u²)] =

[u/√(1 + v²)] – [v√(1 – u²)/√1 + v²)] =

[u – v√(1 – u²)]/√(1 + v²).

8 0

3 years ago

Please help answer <br> Will give brainlst

Genrish500 [490]

Answer:

I think it would be A

5 0

2 years ago

Can someone help me with this plsssss

cupoosta [38]

Answer:

15 cm

Step-by-step explanation:

Given:

The two cylinders shown in the figure are similar to each other.

Therefore, when two figures are similar their measures are in proportion.

So, radius and height of both the cylinders are in proportion.

Radius of both the cylinders are 2 cm and 5 cm respectively. Height of the smaller cylinder is 5 cm. Now,

$\frac{2}{6}=\frac{5}{x}$

Doing cross multiply, we get:

$2x=6\times 5\\2x=30$

Dividing both sides by 2, we get:

$\frac{2x}{2}=\frac{30}{2}\\x=15\ cm$

Therefore, the height of the larger cylinder must be 15 cm in order to make both the cylinders similar to each other.

4 0

3 years ago

Solve the equation by factoring. 3z^2+3z-6=0

Morgarella [4.7K]

Answer:

z = 1 or z = –2

Hope this helps !

6 0

3 years ago

Read 2 more answers

2 Points

ch4aika [34]

I think the answer is b

5 0

3 years ago